Heterogeneous adaptive expectations and cobweb phenomena
We study a cobweb-type commodity market where n firms operate and characterised by a strictly monotone demand and supply. The firms are assumed to differ in a key parameter governing price expectations which we suppose to be adaptive. We characterise the unique steady state of the resulting economic dynamics in terms of stability and we study the impact of the number and diversity of firms: to this end we introduce the notions of structural and behavioural degree of instability which prove to be crucial in determining whether stability or instability prevail. We also consider the case of market merging and establish conditions to have stability (or instability) in the aggregated market in terms of the original (structural and behavioural) degrees of instability. We take up the issue of transitional dynamics and speed of convergence when the system is stable and characterise parametric configurations that maximise the speed of convergence. Motivated by the difficulty to actually observe expectations, whereas it is easier to measure some structural features of a given market, such as the relevant demand and supply price elasticities, we take the perspective of an observer (e.g. a policy maker) whose information set includes the structural but not the behavioural degree of instability. We therefore assume the firms - via the parameter which defines their expectations - are sampled independently from a population described by a given probability distribution. In this case the structural degree of instability determines how the number of potentially different firms affects the probability of ending up with a stable outcome. Analytical results are provided alongside numerical evidence.
|Date of creation:||Mar 2009|
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- Brock, W.A. & Hommes, C.H., 1996.
"A Rational Route to Randomness,"
9530r, Wisconsin Madison - Social Systems.
- William A. Branch, 2004. "The Theory of Rationally Heterogeneous Expectations: Evidence from Survey Data on Inflation Expectations," Economic Journal, Royal Economic Society, vol. 114(497), pages 592-621, 07.
- Christopher D Carroll, 2002.
"Macroeconomic Expectations of Households and Professional Forecasters,"
Economics Working Paper Archive
477, The Johns Hopkins University,Department of Economics.
- Christopher D. Carroll, 2003. "Macroeconomic Expectations Of Households And Professional Forecasters," The Quarterly Journal of Economics, MIT Press, vol. 118(1), pages 269-298, February.
- Mankiw, N. Gregory & Reis, Ricardo & Wolfers, Justin, 2003.
"Disagreement about Inflation Expectations,"
1807, Stanford University, Graduate School of Business.
- N. Gregory Mankiw & Ricardo Reis & Justin Wolfers, 2003. "Disagreement about Inflation Expectations," NBER Working Papers 9796, National Bureau of Economic Research, Inc.
- N. Gregory Mankiw & Ricardo Reis & Justin Wolfers, 2003. "Disagreement about Inflation Expectations," Harvard Institute of Economic Research Working Papers 2011, Harvard - Institute of Economic Research.
- N. Gregory Mankiw & Ricardo Augusto Marc Rocha Reis & Justin Wolfers, 2004. "Disagreement about Inflation Expectations," Yale School of Management Working Papers ysm391, Yale School of Management.
- Honkapohja, Seppo & Mitra, Kaushik, 2002.
"Performance of monetary policy with internal central bank forecasting,"
Working Paper Series
0127, European Central Bank.
- Honkapohja, Seppo & Mitra, Kaushik, 2005. "Performance of monetary policy with internal central bank forecasting," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 627-658, April.
- Honkapohja, Seppo & Mitra, Kaushik, 2002. "Performance of monetary policy with internal central bank forecasting," Research Discussion Papers 3/2002, Bank of Finland.
- Kaushik Mitra & Seppo Honkapohja, 2004. "Performance of Monetary Policy with Internal Central Bank Forecasting," Royal Holloway, University of London: Discussion Papers in Economics 04/18, Department of Economics, Royal Holloway University of London, revised Jul 2004.
- Chiarella, Carl & He, Xue-Zhong & Hung, Hing & Zhu, Peiyuan, 2006. "An analysis of the cobweb model with boundedly rational heterogeneous producers," Journal of Economic Behavior & Organization, Elsevier, vol. 61(4), pages 750-768, December.
- George W. Evans & Roger Guesnerie, 2003.
"Coordination on Saddle-Path Solutions: the Eductive Viewpoint - Linear Multivariate Models,"
DELTA Working Papers
2003-28, DELTA (Ecole normale supérieure).
- Evans, George W. & Guesnerie, Roger, 2005. "Coordination on saddle-path solutions: the eductive viewpoint--linear multivariate models," Journal of Economic Theory, Elsevier, vol. 124(2), pages 202-229, October.
- George W. Evans & Roger Guesnerie, 2003. "Coordination on Saddle-Path Solutions: The Eductive Viewpoint -- Linear Multivariate Models," University of Oregon Economics Department Working Papers 2003-28, University of Oregon Economics Department, revised 25 Jan 2005.
- Andrea Buraschi & Alexei Jiltsov, 2006. "Model Uncertainty and Option Markets with Heterogeneous Beliefs," Journal of Finance, American Finance Association, vol. 61(6), pages 2841-2897, December.
- Reiner Franke & Tim Nesemann, 1999. "Two destabilizing strategies may be jointly stabilizing," Journal of Economics, Springer, vol. 69(1), pages 1-18, February.
- George Evans & William Branch, 2003.
"Intrinsic Heterogeneity in Expectation Formation,"
Computing in Economics and Finance 2003
312, Society for Computational Economics.
- Bill Branch & George W. Evans, 2003. "Intrinsic Heterogeneity in Expectation Formation," University of Oregon Economics Department Working Papers 2003-32, University of Oregon Economics Department, revised 04 Oct 2004.
- Ely�s Jouini & Clotilde Napp, 2007.
"Consensus Consumer and Intertemporal Asset Pricing with Heterogeneous Beliefs,"
Review of Economic Studies,
Oxford University Press, vol. 74(4), pages 1149-1174.
- Elyès Jouini & Clotilde Napp, 2003. "Consensus consumer and intertemporal asset pricing with heterogeneous beliefs," Finance 0312001, EconWPA.
- Clotilde Napp & Elyès Jouini, 2007. "Consensus consumer and intertemporal asset pricing with heterogeneous beliefs," Post-Print halshs-00152348, HAL.
- Herrendorf, Berthold & Valentinyi, Akos & Waldmann, Robert, 2000. "Ruling Out Multiplicity and Indeterminacy: The Role of Heterogeneity," Review of Economic Studies, Wiley Blackwell, vol. 67(2), pages 295-307, April.
- Manzan, Sebastiano & Westerhoff, Frank H., 2007.
"Heterogeneous expectations, exchange rate dynamics and predictability,"
Journal of Economic Behavior & Organization,
Elsevier, vol. 64(1), pages 111-128, September.
- Manzan, S. & Westerhoff, F., 2002. "Heterogeneous Expectations, Exchange Rate Dynamics and Predictability," CeNDEF Working Papers 02-14, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Jouini, Elyès & Napp, Clotilde, 2007. "Consensus Consumer and Intertemporal Asset Pricing with Heterogeneous Beliefs," Economics Papers from University Paris Dauphine 123456789/78, Paris Dauphine University.
- Chavas, Jean-Paul, 2000. "On information and market dynamics: The case of the U.S. beef market," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 833-853, June.
- Negroni, Giorgio, 2003. "Adaptive expectations coordination in an economy with heterogeneous agents," Journal of Economic Dynamics and Control, Elsevier, vol. 28(1), pages 117-140, October.
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